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Finding the Fourth Proportional to 6,700.74, 9,243.16 and 4,178.47

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Solution

The fourth proportional to 6,700.74, 9,243.16 and 4,178.47 is: 5,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.74 : 9,243.16 = 4,178.47 : x
  2. Step 2: Convert to fraction form
    6,700.74/9,243.16 = 4,178.47/x
  3. Step 3: Cross multiply
    6,700.74x = 9,243.16 × 4,178.47
  4. Step 4: Simplify right side
    6,700.74x = 38,622,285.20
  5. Step 5: Solve for x
    x = 38,622,285.20/6,700.74
  6. Step 6: Final answer
    x = 5,763.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.